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Finding the Fourth Proportional to 398,811.78, 550,049.04 and 255,585.06

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Solution

The fourth proportional to 398,811.78, 550,049.04 and 255,585.06 is: 352,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,811.78 : 550,049.04 = 255,585.06 : x
  2. Step 2: Convert to fraction form
    398,811.78/550,049.04 = 255,585.06/x
  3. Step 3: Cross multiply
    398,811.78x = 550,049.04 × 255,585.06
  4. Step 4: Simplify right side
    398,811.78x = 140,584,316,891.34
  5. Step 5: Solve for x
    x = 140,584,316,891.34/398,811.78
  6. Step 6: Final answer
    x = 352,507.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.